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 Question: What is Standard Index Form ? Answer: 6.472 146308 When the result of a calculation with a calculator goes beyond the size of the calculator's display it is presented in standard form. For example, the above result was recorded from a calculator's display after calculating 8653 This has to be interpreted as 6.472 146 3 x 108 which equals 647 214 630. A number is expressed in standard form when it is given as a number with one non-zero digit to the left of the decimal point multiplied by a power of 10. All numbers can be expressed in this way. For example, 329 = 3.29 x 102 46 700 = 4.67 x 104 0.0071 = 7.1 x 10-3 The power of 10 required can be found by noting how many places the decimal point has to be moved to the left or right to obtain a number with one non-zero digit to its left. For example, 870 235.0 = 8.702 35 x 105 0.000 276 = 2.76 x 10-4 Standard form is particularly useful in dealing with very large or very small numbers as needed in science and astronomy. For example : A molecule of water has a mass of 2.99 x 10-26 kg; The mass of the moon is 7.37 x 1022